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<td class="classHeaderTableLabel">Class</td><td class="classSignature">public class Matrix4Math</td>
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<p></p>
  Math functions for Matrix4 calculations.
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<span class="classHeaderTableLabel">See also</span>
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<a href="../core/data/Matrix4.html" target="">sandy.core.data.Matrix4</a>
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<a name="propertySummary"></a>
<div class="summarySection">
<div class="summaryTableTitle">Public Properties</div>
<table id="summaryTableProperty" class="summaryTable " cellpadding="3" cellspacing="0">
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<th>&nbsp;</th><th colspan="2">Property</th><th class="summaryTableOwnerCol">Defined&nbsp;by</th>
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<td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol"><a class="signatureLink" href="#USE_FAST_MATH">USE_FAST_MATH</a> : Boolean = false<div class="summaryTableDescription">[static]
   Specifies whether to use fast math calculations.</div>
</td><td class="summaryTableOwnerCol">Matrix4Math</td>
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<a name="methodSummary"></a>
<div class="summarySection">
<div class="summaryTableTitle">Public Methods</div>
<table id="summaryTableMethod" class="summaryTable " cellpadding="3" cellspacing="0">
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<th>&nbsp;</th><th colspan="2">Method</th><th class="summaryTableOwnerCol">Defined&nbsp;by</th>
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<tr class="">
<td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol">
<div class="summarySignature">
<a class="signatureLink" href="#addMatrix4()">addMatrix4</a>(m1:<a href="../core/data/Matrix4.html">Matrix4</a>, m2:<a href="../core/data/Matrix4.html">Matrix4</a>):<a href="../core/data/Matrix4.html">Matrix4</a>
</div>
<div class="summaryTableDescription">[static]
   Computes the addition of two Matrix4 matrices.</div>
</td><td class="summaryTableOwnerCol">Matrix4Math</td>
</tr>
<tr class="">
<td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol">
<div class="summarySignature">
<a class="signatureLink" href="#axisRotation()">axisRotation</a>(u:Number, v:Number, w:Number, angle:Number):<a href="../core/data/Matrix4.html">Matrix4</a>
</div>
<div class="summaryTableDescription">[static]
   Computes a rotation Matrix4 matrix for a general axis of rotation.</div>
</td><td class="summaryTableOwnerCol">Matrix4Math</td>
</tr>
<tr class="">
<td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol">
<div class="summarySignature">
<a class="signatureLink" href="#axisRotationPoint3D()">axisRotationPoint3D</a>(v:<a href="../core/data/Point3D.html">Point3D</a>, angle:Number):<a href="../core/data/Matrix4.html">Matrix4</a>
</div>
<div class="summaryTableDescription">[static]
   Computes a rotation Matrix4 matrix for a general axis of rotation.</div>
</td><td class="summaryTableOwnerCol">Matrix4Math</td>
</tr>
<tr class="">
<td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol">
<div class="summarySignature">
<a class="signatureLink" href="#axisRotationWithReference()">axisRotationWithReference</a>(axis:<a href="../core/data/Point3D.html">Point3D</a>, ref:<a href="../core/data/Point3D.html">Point3D</a>, pAngle:Number):<a href="../core/data/Matrix4.html">Matrix4</a>
</div>
<div class="summaryTableDescription">[static]
   Computes a Matrix4 matrix for a rotation around a specific axis through a specific point.</div>
</td><td class="summaryTableOwnerCol">Matrix4Math</td>
</tr>
<tr class="">
<td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol">
<div class="summarySignature">
<a class="signatureLink" href="#clone()">clone</a>(m:<a href="../core/data/Matrix4.html">Matrix4</a>):<a href="../core/data/Matrix4.html">Matrix4</a>
</div>
<div class="summaryTableDescription">[static]
   Returns the clone of a Matrix4 matrix.</div>
</td><td class="summaryTableOwnerCol">Matrix4Math</td>
</tr>
<tr class="">
<td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol">
<div class="summarySignature">
<a class="signatureLink" href="#det()">det</a>(m:<a href="../core/data/Matrix4.html">Matrix4</a>):Number</div>
<div class="summaryTableDescription">[static]
   Computes the determinant of a Matrix4 matrix.</div>
</td><td class="summaryTableOwnerCol">Matrix4Math</td>
</tr>
<tr class="">
<td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol">
<div class="summarySignature">
<a class="signatureLink" href="#det3x3()">det3x3</a>(m:<a href="../core/data/Matrix4.html">Matrix4</a>):Number</div>
<div class="summaryTableDescription">[static]
   Computes the 3x3 determinant of a Matrix4 matrix.</div>
</td><td class="summaryTableOwnerCol">Matrix4Math</td>
</tr>
<tr class="">
<td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol">
<div class="summarySignature">
<a class="signatureLink" href="#eulerRotation()">eulerRotation</a>(ax:Number, ay:Number, az:Number):<a href="../core/data/Matrix4.html">Matrix4</a>
</div>
<div class="summaryTableDescription">[static]
   Computes a rotation Matrix4 matrix from the Euler angle in degrees.</div>
</td><td class="summaryTableOwnerCol">Matrix4Math</td>
</tr>
<tr class="">
<td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol">
<div class="summarySignature">
<a class="signatureLink" href="#getInverse()">getInverse</a>(m:<a href="../core/data/Matrix4.html">Matrix4</a>):<a href="../core/data/Matrix4.html">Matrix4</a>
</div>
<div class="summaryTableDescription">[static]
  Returns the inverse of a Matrix4 matrix.</div>
</td><td class="summaryTableOwnerCol">Matrix4Math</td>
</tr>
<tr class="">
<td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol">
<div class="summarySignature">
<a class="signatureLink" href="#getTrace()">getTrace</a>(m:<a href="../core/data/Matrix4.html">Matrix4</a>):Number</div>
<div class="summaryTableDescription">[static]
   Computes the trace of a Matrix4 matrix.</div>
</td><td class="summaryTableOwnerCol">Matrix4Math</td>
</tr>
<tr class="">
<td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol">
<div class="summarySignature">
<a class="signatureLink" href="#multiply()">multiply</a>(m1:<a href="../core/data/Matrix4.html">Matrix4</a>, m2:<a href="../core/data/Matrix4.html">Matrix4</a>):<a href="../core/data/Matrix4.html">Matrix4</a>
</div>
<div class="summaryTableDescription">[static]
   Computes the multiplication of two Matrix4 matrices.</div>
</td><td class="summaryTableOwnerCol">Matrix4Math</td>
</tr>
<tr class="">
<td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol">
<div class="summarySignature">
<a class="signatureLink" href="#multiply3x3()">multiply3x3</a>(m1:<a href="../core/data/Matrix4.html">Matrix4</a>, m2:<a href="../core/data/Matrix4.html">Matrix4</a>):<a href="../core/data/Matrix4.html">Matrix4</a>
</div>
<div class="summaryTableDescription">[static]
   Computes the multiplication of two Matrix4 matrices, as if they were 3x3.</div>
</td><td class="summaryTableOwnerCol">Matrix4Math</td>
</tr>
<tr class="">
<td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol">
<div class="summarySignature">
<a class="signatureLink" href="#multiply4x3()">multiply4x3</a>(m1:<a href="../core/data/Matrix4.html">Matrix4</a>, m2:<a href="../core/data/Matrix4.html">Matrix4</a>):<a href="../core/data/Matrix4.html">Matrix4</a>
</div>
<div class="summaryTableDescription">[static]
   Computes the multiplication of two Matrix4 matrices.</div>
</td><td class="summaryTableOwnerCol">Matrix4Math</td>
</tr>
<tr class="">
<td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol">
<div class="summarySignature">
<a class="signatureLink" href="#rotationX()">rotationX</a>(angle:Number):<a href="../core/data/Matrix4.html">Matrix4</a>
</div>
<div class="summaryTableDescription">[static]
   Computes a rotation Matrix4 matrix for an x axis rotation.</div>
</td><td class="summaryTableOwnerCol">Matrix4Math</td>
</tr>
<tr class="">
<td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol">
<div class="summarySignature">
<a class="signatureLink" href="#rotationY()">rotationY</a>(angle:Number):<a href="../core/data/Matrix4.html">Matrix4</a>
</div>
<div class="summaryTableDescription">[static]
   Computes a rotation Matrix4 matrix for an y axis rotation.</div>
</td><td class="summaryTableOwnerCol">Matrix4Math</td>
</tr>
<tr class="">
<td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol">
<div class="summarySignature">
<a class="signatureLink" href="#rotationZ()">rotationZ</a>(angle:Number):<a href="../core/data/Matrix4.html">Matrix4</a>
</div>
<div class="summaryTableDescription">[static]
   Computes a rotation Matrix4 matrix for an z axis rotation.</div>
</td><td class="summaryTableOwnerCol">Matrix4Math</td>
</tr>
<tr class="">
<td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol">
<div class="summarySignature">
<a class="signatureLink" href="#scale()">scale</a>(nXScale:Number, nYScale:Number, nZScale:Number):<a href="../core/data/Matrix4.html">Matrix4</a>
</div>
<div class="summaryTableDescription">[static]
   Computes a scale Matrix4 matrix.</div>
</td><td class="summaryTableOwnerCol">Matrix4Math</td>
</tr>
<tr class="">
<td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol">
<div class="summarySignature">
<a class="signatureLink" href="#scalePoint3D()">scalePoint3D</a>(v:<a href="../core/data/Point3D.html">Point3D</a>):<a href="../core/data/Matrix4.html">Matrix4</a>
</div>
<div class="summaryTableDescription">[static]
   Computes a scale Matrix4 matrix from a scale Point3D.</div>
</td><td class="summaryTableOwnerCol">Matrix4Math</td>
</tr>
<tr class="">
<td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol">
<div class="summarySignature">
<a class="signatureLink" href="#transform()">transform</a>(m:<a href="../core/data/Matrix4.html">Matrix4</a>, pv:<a href="../core/data/Point3D.html">Point3D</a>):<a href="../core/data/Point3D.html">Point3D</a>
</div>
<div class="summaryTableDescription">[static]
   Multiplies a 3D vertex by a Matrix4 matrix.</div>
</td><td class="summaryTableOwnerCol">Matrix4Math</td>
</tr>
<tr class="">
<td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol">
<div class="summarySignature">
<a class="signatureLink" href="#transform3x3()">transform3x3</a>(m:<a href="../core/data/Matrix4.html">Matrix4</a>, pv:<a href="../core/data/Point3D.html">Point3D</a>):<a href="../core/data/Point3D.html">Point3D</a>
</div>
<div class="summaryTableDescription">[static]
   Multiplies a 3D Point3D by a Matrix4 matrix as a 3x3 matrix.</div>
</td><td class="summaryTableOwnerCol">Matrix4Math</td>
</tr>
<tr class="">
<td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol">
<div class="summarySignature">
<a class="signatureLink" href="#translation()">translation</a>(nTx:Number, nTy:Number, nTz:Number):<a href="../core/data/Matrix4.html">Matrix4</a>
</div>
<div class="summaryTableDescription">[static]
   Computes a translation Matrix4 matrix.</div>
</td><td class="summaryTableOwnerCol">Matrix4Math</td>
</tr>
<tr class="">
<td class="summaryTablePaddingCol">&nbsp;</td><td class="summaryTableInheritanceCol">&nbsp;</td><td class="summaryTableSignatureCol">
<div class="summarySignature">
<a class="signatureLink" href="#translationPoint3D()">translationPoint3D</a>(v:<a href="../core/data/Point3D.html">Point3D</a>):<a href="../core/data/Matrix4.html">Matrix4</a>
</div>
<div class="summaryTableDescription">[static]
   Computes a translation Matrix4 matrix from a Point3D.</div>
</td><td class="summaryTableOwnerCol">Matrix4Math</td>
</tr>
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<a name="USE_FAST_MATH"></a>
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<td class="detailHeaderName">USE_FAST_MATH</td><td class="detailHeaderType">property</td>
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<code>public static var USE_FAST_MATH:Boolean = false</code><p>
   Specifies whether to use fast math calculations.
   </p></div>
<a name="methodDetail"></a>
<div class="detailSectionHeader">Method detail</div>
<a name="addMatrix4()"></a>
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<td class="detailHeaderName">addMatrix4</td><td class="detailHeaderParens">()</td><td class="detailHeaderType">method</td>
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<div class="detailBody">
<code>public static function addMatrix4(m1:<a href="../core/data/Matrix4.html">Matrix4</a>, m2:<a href="../core/data/Matrix4.html">Matrix4</a>):<a href="../core/data/Matrix4.html">Matrix4</a></code><p>
   Computes the addition of two Matrix4 matrices.
      </p><span class="label">Parameters</span>
<table border="0" cellspacing="0" cellpadding="0">
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<td width="20px"></td><td><code><span class="label">m1</span>:<a href="../core/data/Matrix4.html">Matrix4</a></code> &mdash;  The first matrix.
   </td>
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<td class="paramSpacer">&nbsp;</td>
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<td width="20px"></td><td><code><span class="label">m2</span>:<a href="../core/data/Matrix4.html">Matrix4</a></code> &mdash; The second matrix.
      </td>
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</table>
<p></p>
<span class="label">Returns</span>
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<td width="20"></td><td><code><a href="../core/data/Matrix4.html">Matrix4</a></code> &mdash; 
                        The resulting matrix.
   
                        
                     </td>
</tr>
</table>
</div>
<a name="axisRotation()"></a>
<table cellspacing="0" cellpadding="0" class="detailHeader">
<tr>
<td class="detailHeaderName">axisRotation</td><td class="detailHeaderParens">()</td><td class="detailHeaderType">method</td><td class="detailHeaderRule">&nbsp;</td>
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<div class="detailBody">
<code>public static function axisRotation(u:Number, v:Number, w:Number, angle:Number):<a href="../core/data/Matrix4.html">Matrix4</a></code><p>
   Computes a rotation Matrix4 matrix for a general axis of rotation.
      </p><p>[<strong>ToDo</strong>: My gosh! Explain this Thomas ;-) ]</p>
      <span class="label">Parameters</span>
<table border="0" cellspacing="0" cellpadding="0">
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<td width="20px"></td><td><code><span class="label">u</span>:Number</code> &mdash;  rotation X.
   </td>
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<td class="paramSpacer">&nbsp;</td>
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<td width="20px"></td><td><code><span class="label">v</span>:Number</code> &mdash;  rotation Y.
   </td>
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<td class="paramSpacer">&nbsp;</td>
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<td width="20px"></td><td><code><span class="label">w</span>:Number</code> &mdash;  rotation Z.
   </td>
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<td class="paramSpacer">&nbsp;</td>
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<td width="20px"></td><td><code><span class="label">angle</span>:Number</code> &mdash; The angle of rotation in degrees.
      </td>
</tr>
</table>
<p></p>
<span class="label">Returns</span>
<table border="0" cellspacing="0" cellpadding="0">
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<td width="20"></td><td><code><a href="../core/data/Matrix4.html">Matrix4</a></code> &mdash; 
                        The resulting matrix.
   
                        
                     </td>
</tr>
</table>
</div>
<a name="axisRotationPoint3D()"></a>
<table cellspacing="0" cellpadding="0" class="detailHeader">
<tr>
<td class="detailHeaderName">axisRotationPoint3D</td><td class="detailHeaderParens">()</td><td class="detailHeaderType">method</td><td class="detailHeaderRule">&nbsp;</td>
</tr>
</table>
<div class="detailBody">
<code>public static function axisRotationPoint3D(v:<a href="../core/data/Point3D.html">Point3D</a>, angle:Number):<a href="../core/data/Matrix4.html">Matrix4</a></code><p>
   Computes a rotation Matrix4 matrix for a general axis of rotation.
      </p><span class="label">Parameters</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20px"></td><td><code><span class="label">v</span>:<a href="../core/data/Point3D.html">Point3D</a></code> &mdash;  The axis of rotation.
   </td>
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<td class="paramSpacer">&nbsp;</td>
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<td width="20px"></td><td><code><span class="label">angle</span>:Number</code> &mdash; The angle of rotation in degrees.
      </td>
</tr>
</table>
<p></p>
<span class="label">Returns</span>
<table border="0" cellspacing="0" cellpadding="0">
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<td width="20"></td><td><code><a href="../core/data/Matrix4.html">Matrix4</a></code> &mdash; 
                        The resulting matrix.
   
                        
                     </td>
</tr>
</table>
</div>
<a name="axisRotationWithReference()"></a>
<table cellspacing="0" cellpadding="0" class="detailHeader">
<tr>
<td class="detailHeaderName">axisRotationWithReference</td><td class="detailHeaderParens">()</td><td class="detailHeaderType">method</td><td class="detailHeaderRule">&nbsp;</td>
</tr>
</table>
<div class="detailBody">
<code>public static function axisRotationWithReference(axis:<a href="../core/data/Point3D.html">Point3D</a>, ref:<a href="../core/data/Point3D.html">Point3D</a>, pAngle:Number):<a href="../core/data/Matrix4.html">Matrix4</a></code><p>
   Computes a Matrix4 matrix for a rotation around a specific axis through a specific point.
   
   </p><p>NOTE - The axis must be normalized!</p>
      <span class="label">Parameters</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20px"></td><td><code><span class="label">axis</span>:<a href="../core/data/Point3D.html">Point3D</a></code> &mdash;   A Point3D representing the axis of rotation.
   </td>
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<td class="paramSpacer">&nbsp;</td>
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<td width="20px"></td><td><code><span class="label">ref</span>:<a href="../core/data/Point3D.html">Point3D</a></code> &mdash;   The center of rotation.
   </td>
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<td class="paramSpacer">&nbsp;</td>
</tr>
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<td width="20px"></td><td><code><span class="label">pAngle</span>:Number</code> &mdash; The angle of rotation in degrees.
      </td>
</tr>
</table>
<p></p>
<span class="label">Returns</span>
<table border="0" cellspacing="0" cellpadding="0">
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<td width="20"></td><td><code><a href="../core/data/Matrix4.html">Matrix4</a></code> &mdash; 
                        The resulting matrix.
   
                        
                     </td>
</tr>
</table>
</div>
<a name="clone()"></a>
<table cellspacing="0" cellpadding="0" class="detailHeader">
<tr>
<td class="detailHeaderName">clone</td><td class="detailHeaderParens">()</td><td class="detailHeaderType">method</td><td class="detailHeaderRule">&nbsp;</td>
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<div class="detailBody">
<code>public static function clone(m:<a href="../core/data/Matrix4.html">Matrix4</a>):<a href="../core/data/Matrix4.html">Matrix4</a></code><p>
   Returns the clone of a Matrix4 matrix.
      </p><span class="label">Parameters</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20px"></td><td><code><span class="label">m</span>:<a href="../core/data/Matrix4.html">Matrix4</a></code> &mdash; The matrix to clone.
      </td>
</tr>
</table>
<p></p>
<span class="label">Returns</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20"></td><td><code><a href="../core/data/Matrix4.html">Matrix4</a></code> &mdash; 
                        The resulting matrix.
   
                        
                     </td>
</tr>
</table>
</div>
<a name="det()"></a>
<table cellspacing="0" cellpadding="0" class="detailHeader">
<tr>
<td class="detailHeaderName">det</td><td class="detailHeaderParens">()</td><td class="detailHeaderType">method</td><td class="detailHeaderRule">&nbsp;</td>
</tr>
</table>
<div class="detailBody">
<code>public static function det(m:<a href="../core/data/Matrix4.html">Matrix4</a>):Number</code><p>
   Computes the determinant of a Matrix4 matrix.
      </p><span class="label">Parameters</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20px"></td><td><code><span class="label">m</span>:<a href="../core/data/Matrix4.html">Matrix4</a></code> &mdash;  The matrix.
      </td>
</tr>
</table>
<p></p>
<span class="label">Returns</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20"></td><td><code>Number</code> &mdash; The determinant.
   </td>
</tr>
</table>
</div>
<a name="det3x3()"></a>
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<tr>
<td class="detailHeaderName">det3x3</td><td class="detailHeaderParens">()</td><td class="detailHeaderType">method</td><td class="detailHeaderRule">&nbsp;</td>
</tr>
</table>
<div class="detailBody">
<code>public static function det3x3(m:<a href="../core/data/Matrix4.html">Matrix4</a>):Number</code><p>
   Computes the 3x3 determinant of a Matrix4 matrix.
      </p><p>Uses the upper left 3 by 3 elements.</p>
      <span class="label">Parameters</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20px"></td><td><code><span class="label">m</span>:<a href="../core/data/Matrix4.html">Matrix4</a></code> &mdash;  The matrix.
      </td>
</tr>
</table>
<p></p>
<span class="label">Returns</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20"></td><td><code>Number</code> &mdash; The determinant.
   </td>
</tr>
</table>
</div>
<a name="eulerRotation()"></a>
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<tr>
<td class="detailHeaderName">eulerRotation</td><td class="detailHeaderParens">()</td><td class="detailHeaderType">method</td><td class="detailHeaderRule">&nbsp;</td>
</tr>
</table>
<div class="detailBody">
<code>public static function eulerRotation(ax:Number, ay:Number, az:Number):<a href="../core/data/Matrix4.html">Matrix4</a></code><p>
   Computes a rotation Matrix4 matrix from the Euler angle in degrees.
      </p><span class="label">Parameters</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20px"></td><td><code><span class="label">ax</span>:Number</code> &mdash; Angle of rotation around X axis in degrees.
   </td>
</tr>
<tr>
<td class="paramSpacer">&nbsp;</td>
</tr>
<tr>
<td width="20px"></td><td><code><span class="label">ay</span>:Number</code> &mdash; Angle of rotation around Y axis in degrees.
   </td>
</tr>
<tr>
<td class="paramSpacer">&nbsp;</td>
</tr>
<tr>
<td width="20px"></td><td><code><span class="label">az</span>:Number</code> &mdash; Angle of rotation around Z axis in degrees.
      </td>
</tr>
</table>
<p></p>
<span class="label">Returns</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20"></td><td><code><a href="../core/data/Matrix4.html">Matrix4</a></code> &mdash; 
                        The resulting matrix.
   
                        
                     </td>
</tr>
</table>
</div>
<a name="getInverse()"></a>
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<tr>
<td class="detailHeaderName">getInverse</td><td class="detailHeaderParens">()</td><td class="detailHeaderType">method</td><td class="detailHeaderRule">&nbsp;</td>
</tr>
</table>
<div class="detailBody">
<code>public static function getInverse(m:<a href="../core/data/Matrix4.html">Matrix4</a>):<a href="../core/data/Matrix4.html">Matrix4</a></code><p>
  Returns the inverse of a Matrix4 matrix.
    </p><span class="label">Parameters</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20px"></td><td><code><span class="label">m</span>:<a href="../core/data/Matrix4.html">Matrix4</a></code> &mdash; The matrix to invert.
    </td>
</tr>
</table>
<p></p>
<span class="label">Returns</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20"></td><td><code><a href="../core/data/Matrix4.html">Matrix4</a></code> &mdash; 
                         The inverse Matrix4 matrix.
  
                        
                     </td>
</tr>
</table>
</div>
<a name="getTrace()"></a>
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<tr>
<td class="detailHeaderName">getTrace</td><td class="detailHeaderParens">()</td><td class="detailHeaderType">method</td><td class="detailHeaderRule">&nbsp;</td>
</tr>
</table>
<div class="detailBody">
<code>public static function getTrace(m:<a href="../core/data/Matrix4.html">Matrix4</a>):Number</code><p>
   Computes the trace of a Matrix4 matrix.
      </p><p>The trace value is the sum of the element on the diagonal of the matrix.</p>
      <span class="label">Parameters</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20px"></td><td><code><span class="label">m</span>:<a href="../core/data/Matrix4.html">Matrix4</a></code> &mdash;  The matrix we want to compute the trace.
      </td>
</tr>
</table>
<p></p>
<span class="label">Returns</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20"></td><td><code>Number</code> &mdash; The trace value.
   </td>
</tr>
</table>
</div>
<a name="multiply()"></a>
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<tr>
<td class="detailHeaderName">multiply</td><td class="detailHeaderParens">()</td><td class="detailHeaderType">method</td><td class="detailHeaderRule">&nbsp;</td>
</tr>
</table>
<div class="detailBody">
<code>public static function multiply(m1:<a href="../core/data/Matrix4.html">Matrix4</a>, m2:<a href="../core/data/Matrix4.html">Matrix4</a>):<a href="../core/data/Matrix4.html">Matrix4</a></code><p>
   Computes the multiplication of two Matrix4 matrices.
      </p><p>[<strong>ToDo</strong>: Explain this multiplication ]</p>
      <span class="label">Parameters</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20px"></td><td><code><span class="label">m1</span>:<a href="../core/data/Matrix4.html">Matrix4</a></code> &mdash;  The first matrix.
   </td>
</tr>
<tr>
<td class="paramSpacer">&nbsp;</td>
</tr>
<tr>
<td width="20px"></td><td><code><span class="label">m2</span>:<a href="../core/data/Matrix4.html">Matrix4</a></code> &mdash; The second matrix.
      </td>
</tr>
</table>
<p></p>
<span class="label">Returns</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20"></td><td><code><a href="../core/data/Matrix4.html">Matrix4</a></code> &mdash; 
                        The resulting matrix.
   
                        
                     </td>
</tr>
</table>
</div>
<a name="multiply3x3()"></a>
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<tr>
<td class="detailHeaderName">multiply3x3</td><td class="detailHeaderParens">()</td><td class="detailHeaderType">method</td><td class="detailHeaderRule">&nbsp;</td>
</tr>
</table>
<div class="detailBody">
<code>public static function multiply3x3(m1:<a href="../core/data/Matrix4.html">Matrix4</a>, m2:<a href="../core/data/Matrix4.html">Matrix4</a>):<a href="../core/data/Matrix4.html">Matrix4</a></code><p>
   Computes the multiplication of two Matrix4 matrices, as if they were 3x3.
      </p><span class="label">Parameters</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20px"></td><td><code><span class="label">m1</span>:<a href="../core/data/Matrix4.html">Matrix4</a></code> &mdash;  The first matrix.
   </td>
</tr>
<tr>
<td class="paramSpacer">&nbsp;</td>
</tr>
<tr>
<td width="20px"></td><td><code><span class="label">m2</span>:<a href="../core/data/Matrix4.html">Matrix4</a></code> &mdash; The second matrix.
      </td>
</tr>
</table>
<p></p>
<span class="label">Returns</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20"></td><td><code><a href="../core/data/Matrix4.html">Matrix4</a></code> &mdash; 
                        The resulting matrix.
   
                        
                     </td>
</tr>
</table>
</div>
<a name="multiply4x3()"></a>
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<tr>
<td class="detailHeaderName">multiply4x3</td><td class="detailHeaderParens">()</td><td class="detailHeaderType">method</td><td class="detailHeaderRule">&nbsp;</td>
</tr>
</table>
<div class="detailBody">
<code>public static function multiply4x3(m1:<a href="../core/data/Matrix4.html">Matrix4</a>, m2:<a href="../core/data/Matrix4.html">Matrix4</a>):<a href="../core/data/Matrix4.html">Matrix4</a></code><p>
   Computes the multiplication of two Matrix4 matrices.
      </p><p>[<strong>ToDo</strong>: Explain this multiplication ]</p>
      <span class="label">Parameters</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20px"></td><td><code><span class="label">m1</span>:<a href="../core/data/Matrix4.html">Matrix4</a></code> &mdash;  The first matrix.
   </td>
</tr>
<tr>
<td class="paramSpacer">&nbsp;</td>
</tr>
<tr>
<td width="20px"></td><td><code><span class="label">m2</span>:<a href="../core/data/Matrix4.html">Matrix4</a></code> &mdash; The second matrix.
      </td>
</tr>
</table>
<p></p>
<span class="label">Returns</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20"></td><td><code><a href="../core/data/Matrix4.html">Matrix4</a></code> &mdash; 
                        The resulting matrix.
   
                        
                     </td>
</tr>
</table>
</div>
<a name="rotationX()"></a>
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<tr>
<td class="detailHeaderName">rotationX</td><td class="detailHeaderParens">()</td><td class="detailHeaderType">method</td><td class="detailHeaderRule">&nbsp;</td>
</tr>
</table>
<div class="detailBody">
<code>public static function rotationX(angle:Number):<a href="../core/data/Matrix4.html">Matrix4</a></code><p>
   Computes a rotation Matrix4 matrix for an x axis rotation.
      </p><span class="label">Parameters</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20px"></td><td><code><span class="label">angle</span>:Number</code> &mdash; Angle of rotation.
      </td>
</tr>
</table>
<p></p>
<span class="label">Returns</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20"></td><td><code><a href="../core/data/Matrix4.html">Matrix4</a></code> &mdash; 
                        The resulting matrix.
   
                        
                     </td>
</tr>
</table>
</div>
<a name="rotationY()"></a>
<table cellspacing="0" cellpadding="0" class="detailHeader">
<tr>
<td class="detailHeaderName">rotationY</td><td class="detailHeaderParens">()</td><td class="detailHeaderType">method</td><td class="detailHeaderRule">&nbsp;</td>
</tr>
</table>
<div class="detailBody">
<code>public static function rotationY(angle:Number):<a href="../core/data/Matrix4.html">Matrix4</a></code><p>
   Computes a rotation Matrix4 matrix for an y axis rotation.
      </p><span class="label">Parameters</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20px"></td><td><code><span class="label">angle</span>:Number</code> &mdash; Angle of rotation.
      </td>
</tr>
</table>
<p></p>
<span class="label">Returns</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20"></td><td><code><a href="../core/data/Matrix4.html">Matrix4</a></code> &mdash; 
                        The resulting matrix.
   
                        
                     </td>
</tr>
</table>
</div>
<a name="rotationZ()"></a>
<table cellspacing="0" cellpadding="0" class="detailHeader">
<tr>
<td class="detailHeaderName">rotationZ</td><td class="detailHeaderParens">()</td><td class="detailHeaderType">method</td><td class="detailHeaderRule">&nbsp;</td>
</tr>
</table>
<div class="detailBody">
<code>public static function rotationZ(angle:Number):<a href="../core/data/Matrix4.html">Matrix4</a></code><p>
   Computes a rotation Matrix4 matrix for an z axis rotation.
      </p><span class="label">Parameters</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20px"></td><td><code><span class="label">angle</span>:Number</code> &mdash; Angle of rotation.
      </td>
</tr>
</table>
<p></p>
<span class="label">Returns</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20"></td><td><code><a href="../core/data/Matrix4.html">Matrix4</a></code> &mdash; 
                        The resulting matrix.
   
                        
                     </td>
</tr>
</table>
</div>
<a name="scale()"></a>
<table cellspacing="0" cellpadding="0" class="detailHeader">
<tr>
<td class="detailHeaderName">scale</td><td class="detailHeaderParens">()</td><td class="detailHeaderType">method</td><td class="detailHeaderRule">&nbsp;</td>
</tr>
</table>
<div class="detailBody">
<code>public static function scale(nXScale:Number, nYScale:Number, nZScale:Number):<a href="../core/data/Matrix4.html">Matrix4</a></code><p>
   Computes a scale Matrix4 matrix.
   
   <pre>
   |Sx 0  0  0|
   |0  Sy 0  0|
   |0  0  Sz 0|
   |0  0  0  1|
   </pre>
      </p><span class="label">Parameters</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20px"></td><td><code><span class="label">nXScale</span>:Number</code> &mdash;  Scale factor in the x direction.
   </td>
</tr>
<tr>
<td class="paramSpacer">&nbsp;</td>
</tr>
<tr>
<td width="20px"></td><td><code><span class="label">nYScale</span>:Number</code> &mdash;  Scale factor in the y direction.
   </td>
</tr>
<tr>
<td class="paramSpacer">&nbsp;</td>
</tr>
<tr>
<td width="20px"></td><td><code><span class="label">nZScale</span>:Number</code> &mdash;  Scale factor in the z direction.
      </td>
</tr>
</table>
<p></p>
<span class="label">Returns</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20"></td><td><code><a href="../core/data/Matrix4.html">Matrix4</a></code> &mdash; 
                        The resulting matrix.
   
                        
                     </td>
</tr>
</table>
</div>
<a name="scalePoint3D()"></a>
<table cellspacing="0" cellpadding="0" class="detailHeader">
<tr>
<td class="detailHeaderName">scalePoint3D</td><td class="detailHeaderParens">()</td><td class="detailHeaderType">method</td><td class="detailHeaderRule">&nbsp;</td>
</tr>
</table>
<div class="detailBody">
<code>public static function scalePoint3D(v:<a href="../core/data/Point3D.html">Point3D</a>):<a href="../core/data/Matrix4.html">Matrix4</a></code><p>
   Computes a scale Matrix4 matrix from a scale Point3D.
   
   <pre>
   |Sx 0  0  0|
   |0  Sy 0  0|
   |0  0  Sz 0|
   |0  0  0  1|
   </pre>
      </p><span class="label">Parameters</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20px"></td><td><code><span class="label">v</span>:<a href="../core/data/Point3D.html">Point3D</a></code> &mdash; The Point3D containing the scale values.
      </td>
</tr>
</table>
<p></p>
<span class="label">Returns</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20"></td><td><code><a href="../core/data/Matrix4.html">Matrix4</a></code> &mdash; 
                        The resulting matrix.
   
                        
                     </td>
</tr>
</table>
</div>
<a name="transform()"></a>
<table cellspacing="0" cellpadding="0" class="detailHeader">
<tr>
<td class="detailHeaderName">transform</td><td class="detailHeaderParens">()</td><td class="detailHeaderType">method</td><td class="detailHeaderRule">&nbsp;</td>
</tr>
</table>
<div class="detailBody">
<code>public static function transform(m:<a href="../core/data/Matrix4.html">Matrix4</a>, pv:<a href="../core/data/Point3D.html">Point3D</a>):<a href="../core/data/Point3D.html">Point3D</a></code><p>
   Multiplies a 3D vertex by a Matrix4 matrix.
      </p><span class="label">Parameters</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20px"></td><td><code><span class="label">m</span>:<a href="../core/data/Matrix4.html">Matrix4</a></code> &mdash;  The matrix.
   </td>
</tr>
<tr>
<td class="paramSpacer">&nbsp;</td>
</tr>
<tr>
<td width="20px"></td><td><code><span class="label">pv</span>:<a href="../core/data/Point3D.html">Point3D</a></code> &mdash; The vertex.
      </td>
</tr>
</table>
<p></p>
<span class="label">Returns</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20"></td><td><code><a href="../core/data/Point3D.html">Point3D</a></code> &mdash; 
                        The resulting Point3D.
   
                        
                     </td>
</tr>
</table>
</div>
<a name="transform3x3()"></a>
<table cellspacing="0" cellpadding="0" class="detailHeader">
<tr>
<td class="detailHeaderName">transform3x3</td><td class="detailHeaderParens">()</td><td class="detailHeaderType">method</td><td class="detailHeaderRule">&nbsp;</td>
</tr>
</table>
<div class="detailBody">
<code>public static function transform3x3(m:<a href="../core/data/Matrix4.html">Matrix4</a>, pv:<a href="../core/data/Point3D.html">Point3D</a>):<a href="../core/data/Point3D.html">Point3D</a></code><p>
   Multiplies a 3D Point3D by a Matrix4 matrix as a 3x3 matrix.
      </p><p>Uses the upper left 3 by 3 elements</p>
      <span class="label">Parameters</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20px"></td><td><code><span class="label">m</span>:<a href="../core/data/Matrix4.html">Matrix4</a></code> &mdash; The matrix.
   </td>
</tr>
<tr>
<td class="paramSpacer">&nbsp;</td>
</tr>
<tr>
<td width="20px"></td><td><code><span class="label">pv</span>:<a href="../core/data/Point3D.html">Point3D</a></code> &mdash; The Point3D.
      </td>
</tr>
</table>
<p></p>
<span class="label">Returns</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20"></td><td><code><a href="../core/data/Point3D.html">Point3D</a></code> &mdash; 
                        The resulting Point3D.
   
                        
                     </td>
</tr>
</table>
</div>
<a name="translation()"></a>
<table cellspacing="0" cellpadding="0" class="detailHeader">
<tr>
<td class="detailHeaderName">translation</td><td class="detailHeaderParens">()</td><td class="detailHeaderType">method</td><td class="detailHeaderRule">&nbsp;</td>
</tr>
</table>
<div class="detailBody">
<code>public static function translation(nTx:Number, nTy:Number, nTz:Number):<a href="../core/data/Matrix4.html">Matrix4</a></code><p>
   Computes a translation Matrix4 matrix.
   
   <pre>
   |1  0  0  0|
   |0  1  0  0|
   |0  0  1  0|
   |Tx Ty Tz 1|
   </pre>
   
   </p><span class="label">Parameters</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20px"></td><td><code><span class="label">nTx</span>:Number</code> &mdash;  Translation in the x direction.
   </td>
</tr>
<tr>
<td class="paramSpacer">&nbsp;</td>
</tr>
<tr>
<td width="20px"></td><td><code><span class="label">nTy</span>:Number</code> &mdash;  Translation in the y direction.
   </td>
</tr>
<tr>
<td class="paramSpacer">&nbsp;</td>
</tr>
<tr>
<td width="20px"></td><td><code><span class="label">nTz</span>:Number</code> &mdash;  Translation in the z direction.
      </td>
</tr>
</table>
<p></p>
<span class="label">Returns</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20"></td><td><code><a href="../core/data/Matrix4.html">Matrix4</a></code> &mdash; 
                        The resulting matrix.
   
                        
                     </td>
</tr>
</table>
</div>
<a name="translationPoint3D()"></a>
<table cellspacing="0" cellpadding="0" class="detailHeader">
<tr>
<td class="detailHeaderName">translationPoint3D</td><td class="detailHeaderParens">()</td><td class="detailHeaderType">method</td><td class="detailHeaderRule">&nbsp;</td>
</tr>
</table>
<div class="detailBody">
<code>public static function translationPoint3D(v:<a href="../core/data/Point3D.html">Point3D</a>):<a href="../core/data/Matrix4.html">Matrix4</a></code><p>
   Computes a translation Matrix4 matrix from a Point3D.
   
   <pre>
   |1  0  0  0|
   |0  1  0  0|
   |0  0  1  0|
   |Tx Ty Tz 1|
   </pre>
   
   </p><span class="label">Parameters</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20px"></td><td><code><span class="label">v</span>:<a href="../core/data/Point3D.html">Point3D</a></code> &mdash;  Translation Point3D.
      </td>
</tr>
</table>
<p></p>
<span class="label">Returns</span>
<table border="0" cellspacing="0" cellpadding="0">
<tr>
<td width="20"></td><td><code><a href="../core/data/Matrix4.html">Matrix4</a></code> &mdash; 
                        The resulting matrix.
   
                        
                     </td>
</tr>
</table>
</div>
<br>
<br>
<hr>
<br>
<p></p>
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